Results 21 to 30 of about 974 (118)

On certain classes of close-to-convex functions

International Journal of Mathematics and Mathematical Sciences, 1993
A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
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On Univalent Polynomials [PDF]

Proceedings of the American Mathematical Society, 1976
We define V n
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Properties of Functions Formed Using the Sakaguchi and Gao-Zhou Concept

Mathematics, 2020
This paper introduces a new class related to close-to-convex functions denoted by K s k , N . This class is based on combining the concepts of starlike functions with respect to N-ply symmetry points of the order α , introduced by ...
Jonathan Aaron Azlan Mosiun, Suzeini Abdul Halim   +1 more
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On Convex Univalent Functions with Convex Univalent Derivatives

Rocky Mountain Journal of Mathematics, 2005
The authors studied the functions \[ \sum_{k=0}^{\infty}a_{k}\dfrac{(1+z)^k}{k!}, \] for \(a_{0}\geq a_{1}\geq...\geq 0\). They showed that these functions are either constant or convex univalent in the unit disk \(D\). The work is inspired by \textit{T. J.
Ruscheweyh, Stephan, Salinas, Luis
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Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Moroccan Journal of Pure and Applied Analysis, 2021
The purpose of the present paper is to find the sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in subclasses of spiral-like univalent functions and inclusion relations for such subclasses in the ...
Murugusundaramoorthy Gangadharan
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Sufficient and Necessary Conditions for Generalized Distribution Series on Comprehensive Subclass of Analytic Functions

Mathematics
In this paper, we demonstrate a relationship between a generalized distribution series and a comprehensive subclass of analytic functions. The primary aim of this study is to determine a necessary and sufficient condition for the generalized distribution
Tariq Al-Hawary, Basem Frasin, Ibtisam Aldawish   +2 more
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Univalent functions with univalent Gelfond-Leontev derivatives [PDF]

Bulletin of the Australian Mathematical Society, 1984
Let be a nondecreasing sequence of positive numbers. We consider Gelfond-Leontev derivative Df(z), of a function , defined by for univalence and growth properties, and extend some results of Shah and Trimble. Set en = {d1d2 … dn), n≥l, e0 = 1, . Let r be the radius of convergence of p(z). We state parts of Theorem 1 and Corollaries. Let f and all Dkf,
Juneja, O. P., Shah, S. M.
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New Subclass of Convex Functions Concerning Infinite Cone [PDF]

Sahand Communications in Mathematical Analysis
We introduce a new subclass of convex functions as follows:\[  \mathcal{K}_{IC}:=\left\{f\in \mathcal{A}:{\rm  Re}\left(1+\frac{zf''(z)}{f'(z)}\right)>\left|f'(z)-1\right|,\quad  |z|
Fatolah Hasanvand, Shahram Najafzadeh, Ali Ebadian   +2 more
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Univalent functions having univalent derivatives [PDF]

Rocky Mountain Journal of Mathematics, 1986
Let T denote the family of functions \(f(z)=z-\sum^{\infty}_{n=2}a_ nz^ n\), \(a_ n\geq 0\), which are analytic and univalent in the unit disk \(\Delta =\{| z|
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Product of univalent functions [PDF]

Mathematical and Computer Modelling, 2013
Abstract Let S denote the class of functions f analytic and univalent in the unit disk | z | 1 normalized such that f ( 0 ) = 0 = f ′ ( 0 ) − 1 . In this article the authors discuss the radius of univalence of F ( z ) = g ( z ) h ( z ) / z when g and h belong ...
Milutin Obradovic, Saminathan Ponnusamy
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